Question

The velocity of sound is________ the density of the medium. Fill in the blank.

• A. directly proportional to
• B. inversely proportional to
• C. directly proportional to the square root of
• D. inversely proportional to the square root of

Answer 1

Answer: (D)

inversely proportional to the square root of

The velocity of sound $v$ in a medium is given by Sir Newton's formula ,

$v=\sqrt{K/\rho }$ ,

where , $K=$ elasticity of medium ,

$\rho =$ density of medium ,

from above formula , we have ,

$v=\sqrt{1/\rho }$ ,

so, velocity of sound is inversely proportional to the square root of density of the medium .